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8023838328 = 23321123538311
BaseRepresentation
bin1110111100100001…
…00000111001111000
3202201012021012221100
413132100200321320
5112413100311303
63404110411400
7402560333442
oct73620407170
922635235840
108023838328
11344827a550
12167b200b60
139ab46b63c
14561911492
1531e6588a3
hex1de420e78

8023838328 has 192 divisors, whose sum is σ = 25207303680. Its totient is φ = 2281593600.

The previous prime is 8023838321. The next prime is 8023838371. The reversal of 8023838328 is 8238383208.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8023838321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 961293 + ... + 969603.

It is an arithmetic number, because the mean of its divisors is an integer number (131288040).

Almost surely, 28023838328 is an apocalyptic number.

8023838328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8023838328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603651840).

8023838328 is an abundant number, since it is smaller than the sum of its proper divisors (17183465352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8023838328 is a wasteful number, since it uses less digits than its factorization.

8023838328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8410 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8023838328 is about 89575.8802803523. The cubic root of 8023838328 is about 2001.9845574479.

The spelling of 8023838328 in words is "eight billion, twenty-three million, eight hundred thirty-eight thousand, three hundred twenty-eight".